Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018bg |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8087040 |
Modular degree for the optimal curve |
Δ |
-2.2166422599334E+20 |
Discriminant |
Eigenvalues |
2- -2 -3 0 -6 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2990712,2115424336] |
[a1,a2,a3,a4,a6] |
Generators |
[-1338:61678:1] |
Generators of the group modulo torsion |
j |
-77086633/5776 |
j-invariant |
L |
4.1217162395475 |
L(r)(E,1)/r! |
Ω |
0.17378615066237 |
Real period |
R |
0.98821554487863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122018n1 6422c1 |
Quadratic twists by: 13 -19 |